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23949900 = 223252132389
BaseRepresentation
bin101101101011…
…1001001001100
31200001210002100
41123113021030
522112344100
62213155100
7410366532
oct133271114
950053070
1023949900
1112578a07
12802ba90
134c67250
143276152
152181400
hex16d724c

23949900 has 216 divisors, whose sum is σ = 85307040. Its totient is φ = 5575680.

The previous prime is 23949883. The next prime is 23949907. The reversal of 23949900 is 994932.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (23949907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 269056 + ... + 269144.

It is an arithmetic number, because the mean of its divisors is an integer number (394940).

Almost surely, 223949900 is an apocalyptic number.

23949900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23949900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

23949900 is an abundant number, since it is smaller than the sum of its proper divisors (61357140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23949900 is a wasteful number, since it uses less digits than its factorization.

23949900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 23949900 is about 4893.8635044308. The cubic root of 23949900 is about 288.2490611712.

The spelling of 23949900 in words is "twenty-three million, nine hundred forty-nine thousand, nine hundred".